Question: Prove that (for x > 1 )) log(x+y)= log(x) + log(y) IF, AND ONLY IF , y- x/x-1

Prove that (for x > 1 )) log(x+y)= log(x) + log(y) IF, AND ONLY IF , y- x/x-1

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

1. 1. Oscar is driving for a taxi company where he earns a base pay of $250 per week and a 7% commission on the charges he collects from his customers per week. Write an expression to represent...

Q:

Can someone please help with these? I have a ton of other work and don't have the time to do it. You don't need to do the crossed out ones, and please, show work 8. Prove the following statements....

Q:

Given the following truth tables AND truth table OR truth table NOT table OR truth table NOT truth table input input output input input output input output X Y XY X Y X+Y X X' 0 0 0 0 0 0 0 1 0 1 0 0...

Q:

Can you please answer with full solutions? Without full solutions answer is not useable. I will be grateful to you for the help. Thank you so much in advance. Thanks a lot:) MATH1005 Introductory...

Q:

Given the following truth tables AND truth table OR truth table NOT table OR truth table NOT truth table input input output input input output input output X Y XY X Y X+Y X X' 0 0 0 0 0 0 0 1 0 1 0 0...

Q:

3 1 1 Evaluate: 6 19 502 3. Compute 10P6 and 10C6. 4. Write as a single logarithm: 2 log (x2 - 1) - 2 log y - 3 log (x + 1) + log (y + xy') [2x - 4y + z = 2 5. Use Cramer's rule to solve for x: 2y3z...

Q:

Let f(x) = log x and n N. a) Find the Taylor polynomial Pn := pnf,1. b) Prove that if x [1, 2], then c) Find an n so large that Pn approximates log x on [1, 2] to three decimal places. | log x-pn...

Q:

3 5 11 log 15 3 2 2 tan 2x C 2 x x 4x 5 6 7 x 1 log x x 1 C 8 log x x a C 9 log tan x tan x 4 C log x 1 x 2x 2 C 13 log 22 tan 16 2 2x x 3 C 18 log 3x 2x 1 19 6 x 9x 20 Jong x 2 x 3x 2 C log x b x a...

Q:

College Algebra MATH 107 Spring, 2016, V4.7 MATH 107 FINAL EXAMINATION This is an open-book exam. You may refer to your text and other course materials as you work on the exam, and you may use a...

Q:

13. If f (x) = 3x and g(x) = 7x - 1, what is (f . 22. Solve for x; log10 x = 2 g) (4)? A. 100 B. 50 C. 200 A. 81 D. 150 E. 300 F. no answer B. 64 23. Solve for x; log1/5 25 = x C. 36 A. -1 B. -2 C....

Q:

Which guidelines should most strongly influence whether or not to pursue a recommendation to implement additional capabilities? Briefly justify each (a short sentence).

Q:

Define Sustainable Development Goals (SDGs) 2. Identify two firms, one that appears to be progressing well in the context of SDGs and another that appears to be performing poorly. Give evidence to...

Q:

The categoris of real estate retrun are: Cash flow, Price appreciation, tax shelter

Q:

On October 1, 2021, Santana Rey launched a computer services company called Business Solutions, which provides consulting services, computer system installations, and custom program development. The...